Dang! She beat me to it. I had a nice message all typed up, and it didn't go through. Anyhow, it may be that Lane & Lerner wrote a version for Streisand, but Click here for the original 1921 sheet music (if Levy makes the link work - maybe there's a copyright hold on this one???). Apparently the song was first sung by the original funny girl, Fanny Brice.
Here's the bibliographic information from The Lester S. Levy Collection of Sheet Music:

Title: Second Hand Rose.
Composer, Lyricist, Arranger: Words by Grant Clarke. Music by James F. Hanley.

Publication: New York: Shapiro, Bernstein & Co., Cor. Broadway & 47th Street, 1921.
Instrumentation: piano and voice
Form of Composition: strophic with chorus
First Line: Father has a bus'ness, strictly second-hand
First Line of Chorus: I'm wearing second hand hats, second hand clothes
Performer: F. Ziegfeld Jr. presents Ziegfeld Follies of 1921. Staged by Edward Royce. Sung by Miss Fanny Brice.
Engraver, Lithographer, Artist: Wohlman

-Joe Offer-